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3 years ago

Is this numerical statement true or false 2z + 10 = 2(z + 5)

Mathematics

2 answers:

Roman55 [17]3 years ago

6 0

false 2z + 10= 12z
2(z + 5) = 10z

AlexFokin [52]3 years ago

6 0

This is true, just use distributive property.

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4. Tikili wants to invest $3500 at her local bank. She will receive an interest rate of 5% compounded

alexandr402 [8]

Answer:

$3863.35 = 3500(1 + \frac{0.05}{2} )^{(2 \times 2)}$

Step-by-step explanation:

The formula for this equation is

$a = p(1 + \frac{r}{n} )^{(n \times t)}$

a is the final result

p is the starting amount (deposited)

r is the interest rate

n is the number of times it's compounded

t is the time

because it says compound annually and it's after 2 years both t and n equal 2. I rounded a for you, but if you don't need it rounded here it is: 3863.345117

Please double check me I may be wrong, this is my second time doing these type of questions

3 0

3 years ago

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)

satela [25.4K]

The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0).

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)

3 0

3 years ago

-. A businessman plans to retire in 30 years. As part of his retirement plan, he has

stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

$A = P(1 + \frac{r}{100})^{t}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 8000(1 + \frac{6}{100})^{30}$

$A = 8000(1 + 0.06)^{30}$

$A = 8000(1.06)^{30}$

$A = 8000(5.7435)$

A = $45948

7 0

3 years ago

PLEASE HELP GIVING BRAINLIEST

77julia77 [94]

Answer:

The answer is A)

Step-by-step explanation:

When the plane length increases, the force required gets reduced while the plane height stays the same.

Hope this helps!

3 0

2 years ago

1. 3x + y = 11 5x - y = 21

sergeinik [125]

Answer:

[4, -1]

Step-by-step explanation:

Using the Elimination Method:

3x + y = 11

5x - y = 21

__________

8x = 32

__ ___

8 8

x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y

The y's are already additive inverses [result in 0], canceling each other out.

I am joyous to assist you anytime.

4 0

3 years ago